Struggling with Homework? Here's Your Solution!

  • Thread starter Thread starter dawud
  • Start date Start date
  • Tags Tags
    Homework
Click For Summary

Homework Help Overview

The discussion revolves around a homework problem related to optimization in the context of speed, likely involving calculus concepts such as derivatives and critical points. The original poster expresses difficulty with part b of the problem and seeks guidance on how to proceed.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to find times for maximum and minimum speed, suggesting that this involves differentiating the expression. There is uncertainty about the correctness of the original poster's attempts and the implications of certain mathematical expressions, such as sin^-1(0).

Discussion Status

Participants are actively engaging with the problem, providing feedback on the original poster's work and suggesting further steps. There is a recognition of the complexity of the derivative involved, and some participants express confidence in the simplicity of the eventual answers, though questions remain about specific values and their implications.

Contextual Notes

The original poster has indicated confusion regarding the arrangement of their attachments and the interpretation of certain mathematical results, which may affect the clarity of the discussion.

dawud
Messages
7
Reaction score
0

Homework Statement



It's attached.

Homework Equations





The Attempt at a Solution



I'm stuck on part b. I've attached my attempt at a solution not sure if it's right and, if it is, where to go from there.
 

Attachments

  • untitled.png
    untitled.png
    50.2 KB · Views: 457
  • sol.jpg
    sol.jpg
    28.2 KB · Views: 398
Physics news on Phys.org
All your work looks right so far. So now it looks like you have find times for the maximum and minimum of the speed, which will be a fairly straight-forward optimization problem.
 
jackarms said:
All your work looks right so far. So now it looks like you have find times for the maximum and minimum of the speed, which will be a fairly straight-forward optimization problem.

Thanks a lot btw. So I'm guessing I should differentiate the expression again right? And from there work out the max and min turning points of the graph?
 
jackarms said:
All your work looks right so far. So now it looks like you have find times for the maximum and minimum of the speed, which will be a fairly straight-forward optimization problem.

Oh man, I don't think this is working out for me lol. Here's the working I've done thus far, I don't think it's correct; any ideas where I went wrong?

Edit: I uploaded the attachments the wrong way round.
 

Attachments

  • 1.jpg
    1.jpg
    23.1 KB · Views: 431
  • 2.jpg
    2.jpg
    20.1 KB · Views: 440
No, I think you're going the right way. The derivative does get a bit messy, but it helps that a and w are both constant, so you can throw those out. I think the answers you'll get will be fairly simple too.
 
jackarms said:
No, I think you're going the right way. The derivative does get a bit messy, but it helps that a and w are both constant, so you can throw those out. I think the answers you'll get will be fairly simple too.

Since I've now got sin^-1(0) I don't know where to proceed from there. As far as I know, that wouldn't yield a max/min value, or would it? And I don't know how the w in the argument factors into all this
 
Last edited:

Similar threads

Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
Replies
15
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 18 ·
Replies
18
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
4
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K